CameraIcon

SearchIcon

MyQuestionIcon

303

You visited us 303 times! Enjoying our articles? Unlock Full Access!

Quantitative Aptitude

Time & Work

Bangalore dai...

Question

Bangalore dairy sales Milk in two kinds of packets: Plastic Bag $&$ Tetra Packs. Each of these packets goes through three steps: Filling, Sealing and Labelling. The company has three filling machines, 6 sealing machines and 3 labelling machines. Each of these 12 machines can work for exactly 8 hours in a day. One box of Tetra Packs requires 20 minutes for filling, 1 hour for sealing and 20 minutes for Labelling. The box of Plastic Bags requires 15 minutes for filling, 1 hour for sealing and 10 minutes for labelling. If the dairy has to manufacture only 40 boxes of Tetra Packs then how many machine hours are utilised on that day?

A

2 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

66 2/3 hrs

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

30 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

72 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

E

40 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 66 2/3 hrs
Each box of Tetra Pack takes 20 minutes for filling, 1 hour for sealing and 20 minutes for Labelling.

Total Machine Hours Utilised = 800 + 2400 + 800 = 4000 = $66 \frac{2}{3}$ hours.
Hence option (b)

Suggest Corrections

thumbs-up

0

Similar questions

Q. Bangalore dairy sales Milk in two kinds of packets: Plastic Bag

&

Tetra Packs. Each of these packets goes through three steps: Filling, Sealing and Labelling. The company has three filing machines, 6 sealing machines and 3 labelling machines. Each of these 12 machines can work for exactly 8 hours in a day. One box of Tetra Packs requires 20 minutes for filling, 1 hour for sealing and 20 minutes for Labelling. The box of Plastic Bags requires 15 minutes for filling, 1 hour for sealing and 10 minutes for labelling.If the number of sealing machines is increased by

50 %

then at a maximum, how many boxes of Tetra Packs can be manufactured in one day?

Q. A factory manufactures two types of screws A and B, each type requiring the use of two machines, an automatic and a hand-operated. It takes

4

minutes on the automatic and

6

minutes on the hand-operated machines to manufacture a packet of screws 'A' while it takes

6

minutes on the automatic and

3

minutes on the hand-operated machine to manufacture a packet of screws 'B'. Each machine is available for at most

4

hours on any day. The manufacturer can sell a packet of screws 'A' at a profit of

70

paise and screws 'B' at a profit of Rs

1

. Assuming that he can sell all the screws he manufactures, how many packets of each type should the factory owner produce in a day in order to maximize his profit? Formulate the above LPP and solve it graphically and find the maximum profit.

Q. A factory manufactures two types of screws

A

B

, each type requiring the use of two machines, an automatic and a hand-operated. It takes

4

minutes on the automatic and

6

minutes on the hand-operated machines to manufacture a packet of screws

^{'} A^{'}

6

minutes on the automatic and

3

minutes on the hand-operated machine to manufacture a packet of screws 'B'. Each machine is available for at most

4

hours on any day. The manufacturer can sell a packet of screws

^{'} A^{'}

70

paise and screws

^{'} B^{'}

R s . 1

. Assuming that he can sell all the screws he manufactures, how many packets of each type should the factory owner produce in a day in order to maximize his profit? Formulate the given LLP and solve it graphically and find the maximum profit.

Q. A manufacturer produces two types of steel trunks. He has two machines A and B. For completing, the first types of the trunk requires 3 hours on machine A and 3 hours on machine B, whereas the second type of the trunk requires 3 hours on machine A and 2 hours on machine B. Machines A and B can work at most for 18 hours and 15 hours per day respectively. He earns a profit of Rs 30 and Rs 25 per trunk of the first type and the second type respectively. How many trunks of each type must he make each day to make maximum profit?

Q. A company manufactures two types of toys A and B. Type A requires 5 minutes each for cutting and 10 minutes each for assembling. Type B requires 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours available for cutting and 4 hours available for assembling in a day. The profit is Rs 50 each on type A and Rs 60 each on type B. How many toys of each type should the company manufacture in a day to maximize the profit?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Speed-Distance-Time

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon